Non-Equidistant Generalizations of the Gushchin-Shchennikov Scheme

DOI10.1002/ZAMM.19870671212zbMath0636.65077OpenAlexW2039335010MaRDI QIDQ3776529

Relja Vulanović

Publication date: 1987

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19870671212

zbMATH Keywords

stabilitynumerical examplessingular perturbation problemsecond order accuracyFinite difference schemesnon-equidistant meshesGushchin-Shchennikov scheme

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (14)

Numerical methods on Shishkin mesh for singularly perturbed delay differential equations with a grid adaptation strategy ⋮ Fitted mesh \(B\)-spline collocation method for singularly perturbed differential-difference equations with small delay ⋮ The midpoint upwind scheme ⋮ Hybrid method for numerical solution of singularly perturbed delay differential equations ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ Layer-adapted meshes for convection-diffusion problems ⋮ A computational method for singularly perturbed nonlinear differential-difference equations with small shift ⋮ Some switching schemes for quasilinear singular perturbation problems ⋮ On a uniformly accurate finite difference approximation of a singularly perturbed reaction-diffusion problem using grid equidistribution ⋮ High order finite volume methods for singular perturbation problems ⋮ Analysis of a nonlinear singularly perturbed Volterra integro-differential equation ⋮ A posteriori error estimation for quasilinear singularly perturbed problems with integral boundary condition ⋮ Analysis of difference approximations to a singularly perturbed two-point boundary value problem on an adaptively generated grid ⋮ Numerical study of two-parameter singularly perturbed problem in two dimensions on an exponentially graded mesh

Cites Work

• On a Differential Equation of Boundary Layer Type
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